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Finding the Fourth Proportional to 17,970.66, 27,003.78 and 9,656.82

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Solution

The fourth proportional to 17,970.66, 27,003.78 and 9,656.82 is: 14,510.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,970.66 : 27,003.78 = 9,656.82 : x
  2. Step 2: Convert to fraction form
    17,970.66/27,003.78 = 9,656.82/x
  3. Step 3: Cross multiply
    17,970.66x = 27,003.78 × 9,656.82
  4. Step 4: Simplify right side
    17,970.66x = 260,770,642.78
  5. Step 5: Solve for x
    x = 260,770,642.78/17,970.66
  6. Step 6: Final answer
    x = 14,510.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.